jsci.maths.matrices

Class IntegerMatrixAlgebra

java.lang.Object

jsci.maths.matrices.IntegerMatrixAlgebra

All Implemented Interfaces:

Algebra, Ring, AbelianGroup

public final class IntegerMatrixAlgebra
extends java.lang.Object
implements Algebra, Ring

Nested Class Summary

Nested classes/interfaces inherited from interface jsci.maths.algebras.Algebra

Algebra.Member

Nested classes/interfaces inherited from interface jsci.maths.fields.Ring

Ring.Member

Method Summary

Modifier and Type	Method and Description
boolean	isNegative(AbelianGroup.Member a, AbelianGroup.Member b) Returns true if one member is the negative of the other.
boolean	isOne(Ring.Member r) Returns true if the member is the unit element.
boolean	isZero(AbelianGroup.Member r) Returns true if the member is the identity element of this group.
Ring.Member	one() Returns the (right) identity.
AbelianGroup.Member	zero() Returns the identity element.

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Detail

one

public Ring.Member one()

Returns the (right) identity.

Specified by:

one in interface Ring

isOne

public boolean isOne(Ring.Member r)

Description copied from interface: Ring

Returns true if the member is the unit element.

Specified by:

isOne in interface Ring

zero

public AbelianGroup.Member zero()

Description copied from interface: AbelianGroup

Returns the identity element.

Specified by:

zero in interface AbelianGroup

isZero

public boolean isZero(AbelianGroup.Member r)

Description copied from interface: AbelianGroup

Returns true if the member is the identity element of this group.

Specified by:

isZero in interface AbelianGroup

Parameters:

r - a group member

isNegative

public boolean isNegative(AbelianGroup.Member a,
                          AbelianGroup.Member b)

Description copied from interface: AbelianGroup

Returns true if one member is the negative of the other.

Specified by:

isNegative in interface AbelianGroup

Parameters:

a - a group member

b - a group member